A B C

Zeitschrift für Naturforschung A Contents Vol. 69a (2014)

Z. Naturforsch. 69a, 441 – 445 (2014)

doi:10.5560/ZNA.2014-0039

New Rational Homoclinic Solution and Rogue Wave Solution for the Coupled Nonlinear Schrödinger Equation

Long-Xing Li¹, Jun Liu¹, Zheng-De Dai², and Ren-Lang Liu²

¹College of Mathematics and Information Science, Qujing Normal University, Qujing 655000, P. R. China

²School of Mathematics and Statistics, Yunnan University, Kunming 650091, P. R. China

Received January 9, 2014 / revised April 4, 2014 / published online July 16, 2014

Reprint requests to: Z.-D. D.; E-mail: zhddai2004@aliyun.com

In this work, the rational homoclinic solution (rogue wave solution) can be obtained via the classical homoclinic solution for the nonlinear Schrödinger (NLS) equation and the coupled nonlinear Schrödinger (CNLS) equation, respectively. This is a new way for generating rogue wave comparing with direct constructing method and Darboux dressing technique.

Key words: Coupled Nonlinear Schrödinger Equation; Homoclinic Test; Homoclinic Breather Solution; Rogue Wave.

PACS numbers: 42.65.Tg; 05.45.-a; 47.20.Ky; 47.35.+i

Full-text PDF